A class of sheaves satisfying Kodaira's vanishing theorem

1999/03/23 by Donu Arapura, Arapura, Donu
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9903137

16 pages, latex; fin. revision; to appear in Math. Ann

openalex publication_date 1999/03/23 · arxiv created 2000/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper contains a Kawamata-Viehweg-Kollár type vanishing theorem for vector bundles. In order to formulate and prove this cleanly, we introduce a class of sheaves that automatically satisfies a vanishing theorem. This is obtained by closing up the subclass of sheaves of adjoint type under extensions, direct images, and taking direct summands.

Citations

• Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I

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